theory, a simple extension is a field extension that is generated by the adjunction of a single element, called a primitive element. Simple extensions are well...

the extension K ( s ) / K {\displaystyle K(s)/K} is called a simple extension and s {\displaystyle s} is called a primitive element of the extension. An...

algebraic if and only if both a and b are algebraic. For any α, the simple extension of the rationals by α, denoted by Q ( α ) {\displaystyle \mathbb {Q}...

an nth root of an element from the previous field. A simple radical extension is a simple extension F/K generated by a single element α {\displaystyle \alpha...

motivation for completing the classification of finite simple groups. An extension is called a central extension if the subgroup N {\displaystyle N} lies in the...

Simple Minds are a Scottish rock band formed in Glasgow in 1977 by Alan Cairnduff as Johnny & The Self-Abusers, with long-standing band members Jim Kerr...

Simple Features (officially Simple Feature Access) is a set of standards that specify a common storage and access model of geographic features made of...

becoming increasingly well-studied and used in the following decades. A simple extension of gradient descent, stochastic gradient descent, serves as the most...

Simple Plan is a Canadian rock band formed in Montreal, Quebec, in 1999. The band's current lineup consists of Pierre Bouvier (lead vocals, studio bass...

In the semantic web, Simple HTML Ontology Extensions are a small set of HTML extensions designed to give web pages semantic meaning by allowing information...

using computable functions, to these different types of objects. A simple extension is to assign cardinal numbers to physical objects according to the...

a simple extension to Langton's ant where instead of just two colors, more colors are used. The colors are modified in a cyclic fashion. A simple naming...

primitive element theorem states that every finite separable field extension is simple, i.e. generated by a single element. This theorem implies in particular...

1016/j.icarus.2010.01.017. Perkins, Sid (17 December 2019). "Albedo is a simple concept that plays complicated roles in climate and astronomy". Proceedings...

the number of primes within a given set of integers. Because it is a simple extension of Eratosthenes' idea, it is sometimes called the Legendre–Eratosthenes...

integral of simple functions can be extended to a more general class of functions, which is how the Lebesgue integral is defined. This extension is based...

version number. RSS now stood for Really Simple Syndication. The major change in this version is an explicit extension mechanism using XML namespaces. Later...

language and multimedia standard extending the Simple Features. The core functionality added by a spatial extension to a database is one or more spatial datatypes...

a simple extension. Splitting field A field extension generated by the complete factorisation of a polynomial. Normal extension A field extension generated...

simple Lie groups give the atomic "building blocks" that make up all (finite-dimensional) connected Lie groups via the operation of group extension....

Simple file verification (SFV) is a file format for storing CRC-32 checksums of files to verify the integrity of files. SFV is used to verify that a file...

E[X]} . This is a simple algebraic extension of degree p, as E = F [ x ] {\displaystyle E=F[x]} , but it is not a normal extension since the Galois group...

defined Extended Simple Mail Transfer Protocol (ESMTP), which established a general structure for all existing and future extensions which aimed to add-in...

Life extension is the concept of extending the human lifespan, either modestly through improvements in medicine or dramatically by increasing the maximum...

(2022) and Nosferatu (2024). Skarsgård has also appeared in the comedy Simple Simon (2010), the drama Nine Days (2020), and the action films The Divergent...

which is in turn a subfield of M, there is a simple relation between the degrees of the three extensions L/K, M/L and M/K: [ M : K ] = [ M : L ] ⋅ [ L...

In measure theory, Carathéodory's extension theorem (named after the mathematician Constantin Carathéodory) states that any pre-measure defined on a given...

Spectrum) – Extension to Sinclair BASIC; started out as a simple toolkit but grew into a full interpreter Lightning BASIC (Amstrad PCW) – Extension to Mallard...

Firewall-Friendly FTP (passive mode), RFC 2228 (June 1997) proposes security extensions, RFC 2428 (September 1998) adds support for IPv6 and defines a new type...

western extension originally built by the District Railway were reconstructed. The new designs used brick, concrete and glass to construct simple geometrical...